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Finding the Third Proportional to 419,703 and 906,417

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Solution

The third proportional to 419,703 and 906,417 is: 1,957,555.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,703 : 906,417 = 906,417 : x
  2. Step 2: Convert to fraction form
    419,703/906,417 = 906,417/x
  3. Step 3: Cross multiply
    419,703x = 906,417 × 906,417
  4. Step 4: Simplify right side
    419,703x = 821,591,777,889
  5. Step 5: Solve for x
    x = 821,591,777,889/419,703
  6. Step 6: Final answer
    x = 1,957,555.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.